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Finding the Fourth Proportional to 465,574.45, 642,444.87 and 261,592.96

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Solution

The fourth proportional to 465,574.45, 642,444.87 and 261,592.96 is: 360,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,574.45 : 642,444.87 = 261,592.96 : x
  2. Step 2: Convert to fraction form
    465,574.45/642,444.87 = 261,592.96/x
  3. Step 3: Cross multiply
    465,574.45x = 642,444.87 × 261,592.96
  4. Step 4: Simplify right side
    465,574.45x = 168,059,055,180.12
  5. Step 5: Solve for x
    x = 168,059,055,180.12/465,574.45
  6. Step 6: Final answer
    x = 360,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.